Question

Find a linear equation satisfying the conditions:

x-intercept at (-2,0) and y-intercept at (0, -3).

Answer 1

see explanation

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0 ) and (x₂, y₂ ) = (0, - 3)

m =
`(-3-0)/(0+2)` = -
`(3)/(2)`

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = -
`(3)/(2)` x - 3 ← equation in slope- intercept form